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Finding the Fourth Proportional to 6,994.92, 9,665.82 and 5,222.64

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Solution

The fourth proportional to 6,994.92, 9,665.82 and 5,222.64 is: 7,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.92 : 9,665.82 = 5,222.64 : x
  2. Step 2: Convert to fraction form
    6,994.92/9,665.82 = 5,222.64/x
  3. Step 3: Cross multiply
    6,994.92x = 9,665.82 × 5,222.64
  4. Step 4: Simplify right side
    6,994.92x = 50,481,098.16
  5. Step 5: Solve for x
    x = 50,481,098.16/6,994.92
  6. Step 6: Final answer
    x = 7,216.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.